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Finding the Third Proportional to 33,618.84 and 73,151.44

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Solution

The third proportional to 33,618.84 and 73,151.44 is: 159,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,618.84 : 73,151.44 = 73,151.44 : x
  2. Step 2: Convert to fraction form
    33,618.84/73,151.44 = 73,151.44/x
  3. Step 3: Cross multiply
    33,618.84x = 73,151.44 × 73,151.44
  4. Step 4: Simplify right side
    33,618.84x = 5,351,132,808.32
  5. Step 5: Solve for x
    x = 5,351,132,808.32/33,618.84
  6. Step 6: Final answer
    x = 159,170.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.